Answer: C) The student made an error in step 3.
Step-by-step explanation:
When dividing by a negative while working with inequalities, you must "flip the sign." Thus, there is an error in step 3.
N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
Diameter of the pipe ≈ 6.77 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
Here, r = Radius of the cylindrical pipe
h = Length of the pipe
Volume of the pipe = 900 ft³
Length of the pipe = 25 ft
By substituting the given values in the formula,
900 = π(r)²(25)
r² = 
r = √11.459
r = 3.385
Diameter = 2(radius)
= 2(3.385)
= 6.77 ft
This is a geometric sequence, with the first term: 1/64
The common ratio is found through the ratio of the first two terms and the second and third term.


Since there is a common difference of 2, we can generalise this sequence to find the nth term:

a is the first term, r is the common ratio, and n is the nth term in the sequence.

Substituting n = 7, we get:



Thus, the next term in the sequence is 1.
Point(-5,3) after the 2 reflections would become (3,-5)
point (4,-2) after the 2 reflections becomes (2,4)